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Manipulating Rational Expressions

Manipulating Rational Expressions 1.16 - Solution

arrow_back Return to Manipulating Rational Expressions
To divide the rational expressions, we will multiply the first expression by the reciprocal of the second expression. We will begin by factoring the numerators and denominators of each expression — if possible — starting with the first.
Factor the numerator
As we can see, the second expression is already factored. Finally, we can cancel out any common factors.
To identify the restrictions on the variable, we need to find any values of that would cause the denominator of the simplified expression, or any other denominator used, to be For simplicity, we will use their factored forms.
Denominator Restrictions on the denominator Restrictions on the variable
and and

We found three restrictions on the variable.